This is a great question, and one that I also racked my brain for answers when I was first getting started not long ago!
I know this can seem scary, at first, but try not to worry so much about the equity partner right out of the gate. What's more important is the deal. If you start searching for deals instead of the equity partner, you go from being someone who has less/no leverage (just starting out), to someone with a PRIZE.
It's much easier to find an equity partner when you've got a great deal on the hook first. Then, the money will find you as you advertise that deal. Remember, there are always financing contingencies in place when you offer on homes that will protect you, in the event that you fall through on finding a partner. Also, you always want to offer (almost embarrassingly) low on properties, so that it's a good deal any way you slice it.
Worst case (besides a simple deal fall-through), you could always wholesale the property - we all know it's not too hard to beat out the other wholesalers' inventory, haha.